Q1: Use Newton - Raphson method to estimate the 3 Voot of fcx) = x -X - 1, e mp loying an initial %3D guess of Xo = 1 . %3D

Q: CALCULATE (16t³, –9t², 25tª) dt.

A: To evaluate the given integral- ∫01(16t3,-9t2,25t4)dt Here we will use the following integration…

Q: The equation of a line is defined by y = k*x^5.2, where k = h/b^n as shown. If b = 1.1; h= 17.1.…

A: We need to find arc length. NOTE - As per Bartleby's Guidelines we can solve one question from…

Q: Approximate the sol of x = sinx upto 4 decimal places by using Newtons method.

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Q: Use a linear approximation to estimate V26. Whot neint

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Q: A particle moves along the curve  y= 2 Sin(πx/2). As theparticle passes through the point (1/3, 1),…

A: Let D be the distance of any point x, y from the origin. We have to find the rate at which this…

Q: Suppose an object is moving along a line such that the acceleration after t seconds is 6t -8t…

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Q: One car leaves a given point and travels cast at 20mph. Another car leaves I hour later and travels…

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Q: + y = ty dt

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Q: Fit a line equation (a+bt) to your x(t) data in range from t=1 to t=5. a and b regression…

A: Given information: Let the five pairs of A, B be (2,3), (2,7), (4,5), (4,6), (8,4). Construct the…

Q: Integrate the following: xdx 1. S x²-x+1 xdx 2. S V9x4-1 dx 3. S XVx-1

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Q: Use reiation Ship: the fcx) (x) To Calculate Js?

A: Here, we need to calculate √8. In other words, we need to find the root of the function f(x) = x2 -…

Q: c) Approximate f(2.5) using Newton's backward difference method if f(0) = -2, f(1) = %3D -1, f(2) =…

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Q: The following table gives the population of a predator animal over eight years. Year 1 2 Population…

A: Given the data as Year Population 1 304 2 294 3 290 4 292 5 297 6 305 7 316 8 326

Q: Calculate (1/2 (2 (2t - 1)e³t dt.

A: Integrate ∫0122t-1e3tdt

Q: |(181? +t+2) dt dx 8.

A: Given expression is

Q: Find f'(1) for f(x) = In(v6x – 3).

A:

Q: Suppose that we track the velocity of Prof.Watkins' car within the first 19 seconds it is traveling…

A: The distance traveled = Area under velocity time graph = Area as per right end point aproximation

Q: The þaramehc equalion of the unde x+ =9 is ☺ x = 9 cost, y=9 sint X = 3 cost, y= 3sint X = 3 cost,…

A: A circle is a two dimensional  shape an it is  a closed curve . A set of all the point are at the…

Q: The upward velocity of a rocket can be computed by the formula below. Compute for the time t at…

A: The objective of the question is to find the time 't' at which the velocity of the rocket is 1450m/s…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.